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125602340864 = 2137111317253
BaseRepresentation
bin111010011111001111…
…0111010000000000000
3110000012102222000101112
41310332132322000000
54024213144401424
6133411222022452
712034354165460
oct1647636720000
9400172860345
10125602340864
11492a42797a0
1220413b77a28
13bac8a81170
1461173ddba0
153401c3d60e
hex1d3e7ba000

125602340864 has 672 divisors, whose sum is σ = 365026870656. Its totient is φ = 41712353280.

The previous prime is 125602340849. The next prime is 125602340923. The reversal of 125602340864 is 468043206521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2369855462 + ... + 2369855514.

It is an arithmetic number, because the mean of its divisors is an integer number (543194748).

Almost surely, 2125602340864 is an apocalyptic number.

125602340864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125602340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182513435328).

125602340864 is an abundant number, since it is smaller than the sum of its proper divisors (239424529792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125602340864 is a wasteful number, since it uses less digits than its factorization.

125602340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 125602340864 in words is "one hundred twenty-five billion, six hundred two million, three hundred forty thousand, eight hundred sixty-four".